Answer:
The statement that is true is;
The vertices of the image are closer to the origin than those of the pre-image
Step-by-step explanation:
The dilation rule is 0.75(x,y)= (0.75x, 0.75y)
K (-4,4)----------( 0.75*-4,0.75*4)-------K' (-3,3)
L (2,4)-----------(0.75*2,0.75*4)---------L' (1.5,3)
M (-2,2)----------(0.75*-2,0.75*2)--------M' (-1.5,1.5)
Write a system of equation based on the number
For an instance, the two numbers are a and b.
"The sum of two numbers is 59" can be written as follows.
⇒ a + b = 59 <em>(first equation)
</em>"The difference is 15" can be written as follows.
⇒ a - b = 15 <em>(second equation)</em>
Solve the system of equation by elimination/substitution method.
First, eliminate b to find the value of a.
a + b = 59
a - b = 15
--------------- + (add)
2a = 74
a = 74/2
a = 37
Second, substitute 37 as a in one of the equations
a + b = 59
37 + b = 59
b = 59 - 37
b = 22
The numbers are 37 and 22
Answer:
x = 11
distributive law
additive law
multiplication property
Step-by-step explanation:
Given in the question an equation
4(x-7) = 2x-6
Distributive law
a(b+c) = ab +ac
4x - 4(7) = 2x - 6
4x -28 = 2x - 6
Use the addition property of equality to reduce the 2x on the right.
4x - 2x - 28 = 2x - 2x -6
4x -2x -28 = -6
Use the addition property of equality to reduce -28 to zero on the left.
4x - 2x- 28 + 28 = -6 + 28
2x = 22
Use the multiplication property of equality to reduce 2x to just x
2x2 = 22/22
x = 22/2
x = 11
The slope can be found by using the formula:
m
=
y
2
−
y
1
x
2
−
x
1
Where
m
is the slope and (
x
1
,
y
1
) and (
x
2
,
y
2
) are the two points on the line.
Substituting the values from the points in the problem gives:
m
=
5
−
3
6
−
4
=
2
2
=
1